2 papers
quant-ph2025
Affine Equivalence in the Clifford Hierarchy
Jonas T. Anderson, Andrew Connelly
In this paper we prove a collection of results on the structure of permutations in the Clifford Hierarchy. First, we leverage results from the cryptography literature on affine equ…
quant-ph2025
Controlled Gates in the Clifford Hierarchy
Jonas T. Anderson, Matthew Weippert
In this note we prove a necessary set of conditions which must be satisfied by any controlled gate in the qubit Clifford Hierarchy. These conditions are straightforward to derive y…